Step-by-step explanation:
To find the value of j(10), we substitute x = 10 into the function j(x) + mx + 144 and solve for j(10).
Given information: j(12) = 18
Substituting x = 12 and j(12) = 18 into the function, we get:
18 + 12m + 144 = 18
Simplifying the equation, we have:
12m + 162 = 0
Subtracting 162 from both sides of the equation, we get:
12m = -162
Dividing both sides of the equation by 12, we have:
m = -162/12
m = -13.5
Now we have the value of m, we can substitute x = 10 into the function and solve for j(10):
j(10) = j(x) + mx + 144
j(10) = j(10) + (-13.5)(10) + 144
j(10) = j(10) - 135 + 144
j(10) = j(10) + 9
We know that j(12) = 18. So, we can rewrite the equation as:
18 = j(10) + 9
Subtracting 9 from both sides of the equation, we get:
9 = j(10)
Therefore, the value of j(10) is 9.
